Welcome!
International Center for Workshops in the Scienceswww.lorentzcenter.nl
Many thanks to:
Ikrâm ÇakirMieke Schutte
QUantitative Estimation of Earth‘s Seismic Sources and StructureEU Initial Training Network in Computational Seismology
www.quest-itn.org
Many thanks to:
Heiner Igel
Infer the magnetic field V at the core-mantle boundary from observations of V at the surface.
Expand VCMB into an orthonormal basis:
Energy of the magnetic field:
Prior knowledge is assumed identical for all parameters:
<Vk> = 0 k (zero expected value) <Vk
2> = σ2 k (variance σ2)
Why this workshop ? A geomagnetic excursion
N
k kkCMB bVV1
N
k kCMB VVE1
22
core-mantle boundary (CMB)
surface of the Earth
AA
Why this workshop ? A geomagnetic excursion
Infer the magnetic field V at the core-mantle boundary from observations of V at the surface.
2 Choices:
(1) non-zero a priori variances → expected a priori energy tends to infinity
(2) expected a priori energy is finite → a priori variances tend to zero (perfect knowledge)
NE as02
NE as02
Inconsistent prior knowledge. G. Backus, 1988. Bayesian inference in geomagnetism. Geophys. J., 92, 125-142.
Why this workshop ? What this tells us:
Uncertainty analysis is not just a question of computational resources!
Tough conceptual problems remain to be solved.
Communication between the disciplines is absolutely essential!
Discover solutions to difficult problems
Discover that solutions to apparently artificial problems are actually relevant
Inconsistent vocabulary is a serious obstacle.
Workshop that fosters communication between Earth sciences and applied math.
Why this workshop ? Inverse problems as commom denominator
Inverse problem = data fitting + uncertainty analysis + …
These are interesting times to study inverse problems
Rapid increase of computational power
New approaches to the solution of inverse problems & uncertainty analysis
Visualisation tools to help us understand our inferences
Topic: Uncertainty analysis in geophysical inverse problems.
This workshop is for you!
Enjoy science away from your everyday obligations
Take your time to discuss and brainstorm with your colleagues
Explore outside your own discipline
Get new ideas and inspiration
Homogenise vocabulary
Monday
Opening
General inverse theory
Tuesday
Tomographic problems
Tomographic problems
Wednesday
Tomographic problems
Data assimilation
Boat trip
Thursday
Data assimilation
Data assimilation
Friday
Special topics
Summary lecture
Programme
Monday
Opening
General inverse theory
Tuesday
Tomographic problems
Tomographic problems
Wednesday
Tomographic problems
Data assimilation
Boat trip
Thursday
Data assimilation
Data assimilation
Friday
Special topics
Summary lecture
Programme
Posters will be on display the whole week near the coffee
room.
Monday
Opening
General inverse theory A. Jackson
Tuesday
Tomographic problems A. Lorenc
Tomographic problems A. Fournier
Wednesday
Tomographic problems R. Potthast
Data assimilation J. Irving
Boat trip
Thursday
Data assimilation T. Nissen-Meyer
Data assimilation M. Holschneider
Friday
Special topics M. Sambridge
Summary lecture
Convenors
Introduce speakers
Interupt speakers when the audience seems to
get lost
→ Chosen outside their main research field
Have fun!